Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 682/12, 993/73, 161/772 quickly i.e. 109033386 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 682/12, 993/73, 161/772 is 109033386.
LCM(682/12, 993/73, 161/772) = 109033386
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 682/12,993/73,161/772
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 682,993,161
Least Common Multiple of Numerators i.e. LCM of 682,993,161 is 109033386.
GCF of Denominators means GCF of 12,73,772 as per the given fractions.
GCF of 12,73,772 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 682,993,161
Given numbers has no common factors except 1. So, there LCM is their product i.e 109033386
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 682,993,161 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(682,993,161) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(682,993,161) x common factors =1 x 1 = 1
LCM(682,993,161) = ( 682 × 993 × 161 ) / 1
LCM(682,993,161) = 109033386 / 1
LCM(682,993,161) = 109033386
Lets's calculate GCF of 12,73,772
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 109033386/1
Therefore the LCM of Fractions 682/12,993/73,161/772 is 109033386
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 73
List of positive integer factors of 73 that divides 73 without a remainder.
1,73
Factors of 772
List of positive integer factors of 772 that divides 772 without a remainder.
1,2,4,193,386,772
Greatest Common Factor
We found the factors 12,73,772 . The biggest common factor number is the GCF number.
So the greatest common factor 12,73,772 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 682/12, 993/73, 161/772?
Answer: LCM of Numerators as per given numbers 682/12, 993/73, 161/772 is
LCM of Numerators i.e. for 682,993,161 is 109033386
GCF of denominators i.e. for 12,73,772 is 1.
Thus, LCM of Fractions is 109033386.Finally, LCM of Fractions for 682/12, 993/73, 161/772 is 109033386.